What is the Greatest Common Factor of 37245 and 37259?

Greatest common factor (GCF) of 37245 and 37259 is 1.

GCF(37245,37259) = 1

We will now calculate the prime factors of 37245 and 37259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37245 and 37259.

How to find the GCF of 37245 and 37259?

We will first find the prime factorization of 37245 and 37259. After we will calculate the factors of 37245 and 37259 and find the biggest common factor number .

Step-1: Prime Factorization of 37245

Prime factors of 37245 are 3, 5, 13, 191. Prime factorization of 37245 in exponential form is:

37245 = 3¹ × 5¹ × 13¹ × 191¹

Step-2: Prime Factorization of 37259

Prime factors of 37259 are 19, 37, 53. Prime factorization of 37259 in exponential form is:

37259 = 19¹ × 37¹ × 53¹

Step-3: Factors of 37245

List of positive integer factors of 37245 that divides 37245 without a remainder.

1, 3, 5, 13, 15, 39, 65, 191, 195, 573, 955, 2483, 2865, 7449, 12415

Step-4: Factors of 37259

List of positive integer factors of 37259 that divides 37245 without a remainder.

1, 19, 37, 53, 703, 1007, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37245 and 37259. The biggest common factor number is the GCF number.
So the greatest common factor 37245 and 37259 is 1.

Also check out the Least Common Multiple of 37245 and 37259